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Finding the Fourth Proportional to 178.49, 267.73 and 109.80

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Solution

The fourth proportional to 178.49, 267.73 and 109.80 is: 164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.49 : 267.73 = 109.80 : x
  2. Step 2: Convert to fraction form
    178.49/267.73 = 109.80/x
  3. Step 3: Cross multiply
    178.49x = 267.73 × 109.80
  4. Step 4: Simplify right side
    178.49x = 29,396.48
  5. Step 5: Solve for x
    x = 29,396.48/178.49
  6. Step 6: Final answer
    x = 164.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.